Perturbation growth in shear flow exhibits universality
Perturbation growth in shear flow exhibits universality
复制标题
剪切流中的扰动增长表现出普遍性
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
P. Ioannou
中科院分区：
文献类型：
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作者：
B. Farrell;P. Ioannou
利用封闭形式的解，最近获得了在指定时间间隔内实现最大增长的无界恒定剪切流的扰动结构。利用线性化的Navier-Stokes方程的数值解，得到了典型有界剪切流、Couette流和平面泊泽维尔流的最优摄动。本文表明，这些最优扰动具有相似的谱和结构，表明剪切流动动力学的潜在普遍性，这是基于模态分析的传统方法所不能揭示的。
Disturbance structures that achieve maximum growth over a specified interval of time have recently been obtained for unbounded constant shear flow making use of closed‐form solutions. Optimal perturbations have also been obtained for the canonical bounded shear flows, the Couette, and plane Poiseuille flows, using numerical solution of the linearized Navier–Stokes equations. In this note it is shown that these optimal perturbations have similar spectra and structure indicating an underlying universality of shear flow dynamics that is not revealed by traditional methods based on modal analysis.